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DY: Dynamik und Statistische Physik

DY 50: Quantum chaos I

DY 50.1: Talk

Friday, March 28, 2003, 10:15–10:30, G\"OR/226

Leading off-diagonal approximation for the spectral form factor of chaotic systems — •Marko Turek and Klaus Richter — Institut für theoretische Physik, Universität Regensburg, D-93040 Regensburg

We show how correlations in the action of classical paths determine the spectral statistics of hyperbolic chaotic systems in two dimensions. We present a phase space generalization of a recent approach [1,2] which was based on configuration space arguments for a uniformly hyperbolic system. In particular we derive the leading off-diagonal correction to the spectral form factor K(τ) in the semiclassical limit.
[1] M. Sieber, K. Richter, Physica Scripta T90, 128 (2001)
[2] M. Sieber, J. Phys. A: Math. Gen. 35, L613, 2002